Abstract
A strategy for optimizing the settings of a dynamical sliding mode controller using an artificial bee colony optimization algorithm is proposed in this paper. The performance of the obtained controller is then evaluated and compared to that of a conventional PID and a dynamical sliding mode controller that has been optimized through a heuristics-based strategy by simulating two integrating linear systems with dead time and inverse response. By utilizing the suggested strategy, it was possible to increase both performance indices and transient characteristics.
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References
Artificial Bee Colony (ABC) algorithm. Intelligent Systems Research Group Department of Computer Engineering at Erciyes University (2009). https://abc.erciyes.edu.tr/
Abachizadeh, M., Yazdi, M.R.H., Yousefi-Koma, A.: Optimal tuning of PID controllers using artificial bee colony algorithm, pp. 379–384 (2010). https://doi.org/10.1109/AIM.2010.5695861
Asimbaya, E., Cabrera, H., Camacho, O., Chávez, D., Leica, P.: A dynamical discontinuous control approach for inverse response chemical processes. In: 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC), pp. 1–6. IEEE (2017)
Baez, E., Bravo, Y., Chavez, D., Camacho, O.: Tuning parameters optimization approach for dynamical sliding mode controllers. IFAC-PapersOnLine 51(13), 656–661 (2018)
Báez, E., Bravo, Y., Leica, P., Chávez, D., Camacho, O.: Dynamical sliding mode control for nonlinear systems with variable delay. In: 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC), pp. 1–6. IEEE (2017)
Burnham, K., Zinober, A., Koshkouei, A.: Dynamic sliding mode control design. IEE Proc. - Control Theor. Appl. 152(4), 392–396 (2005). https://doi.org/10.1049/ip-cta:20055133
Camacho, O., Smith, C.A.: Sliding mode control: an approach to regulate nonlinear chemical processes. ISA Trans. 39(2), 205–218 (2000). https://doi.org/10.1016/S0019-0578(99)00043-9
De Battista, H., Mantz, R.J., Christiansen, C.F.: Dynamical sliding mode power control of wind driven induction generators. IEEE Trans. Energy Convers. 15(4), 451–457 (2000)
De Castro, L., José, F., von Zuben, A.A.: Artificial immune systems: Part I-basic theory and applications (2000)
Dorigo, M., Birattari, M., Stutzle, T.: Ant colony optimization. IEEE Comput. Intell. Mag. 1(4), 28–39 (2006). https://doi.org/10.1109/MCI.2006.329691
Espín, J., Camacho, O.: A proposal of dynamic sliding mode controller for integrating processes with inverse response and deadtime. In: 2021 IEEE Fifth Ecuador Technical Chapters Meeting (ETCM), pp. 1–6. IEEE (2021)
Ghanem, W., Jantan, A.: Using hybrid artificial bee colony algorithm and particle swarm optimization for training feed-forward neural networks. J. Theor. Appl. Inf. Technol. 67, 664–674 (2014)
Herrera, M., Camacho, O., Leiva, H., Smith, C.: An approach of dynamic sliding mode control for chemical processes. J. Process Control 85, 112–120 (2020)
Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975). Second edition, 1992
Iinoya, K., Altpeter, R.J.: Inverse response in process control. Ind. Eng. Chem. 54(7), 39–43 (1962)
Karaboga, D.: An idea based on honey bee swarm for numerical optimization. Technical report - tr06. Erciyes University (2005)
Karaboga, D., Basturk, B.: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J. Glob. Optim. 39, 459–471 (2007). https://doi.org/10.1007/s10898-007-9149-x
Kaya, Ibrahim: Controller design for integrating processes with inverse response and dead time based on standard forms. Electr. Eng. 100(3), 2011–2022 (2018). https://doi.org/10.1007/s00202-018-0679-7
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of ICNN’95 - International Conference on Neural Networks, vol. 4, pp. 1942–1948 (1995). https://doi.org/10.1109/ICNN.1995.488968
Korupu, V.L., Muthukumarasamy, M.: A comparative study of various smith predictor configurations for industrial delay processes. Chem. Prod. Process Model. 17(6), 701–732 (2021)
Kunusch, C., Puleston, P., Mayosky, M.: Fundamentals of sliding-mode control design. In: Kunusch, C., Puleston, P., Mayosky, M. (eds.) Sliding-Mode Control of PEM Fuel Cells. Advances in Industrial Control, pp. 35–71. Springer, London (2012). https://doi.org/10.1007/978-1-4471-2431-3_3
Lin, F.J., Chen, S.Y., Shyu, K.K.: Robust dynamic sliding-mode control using adaptive RENN for magnetic levitation system. IEEE Trans. Neural Netw. 20(6), 938–951 (2009). https://doi.org/10.1109/TNN.2009.2014228
Luyben, W.L.: Identification and tuning of integrating processes with deadtime and inverse response. Ind. Eng. Chem. Res. 42(13), 3030–3035 (2003)
Mehta, U., Rojas, R.: Smith predictor based sliding mode control for a class of unstable processes. Trans. Inst. Meas. Control. 39(5), 706–714 (2017)
Mohammad, A., Ehsan, S.S.: Sliding mode PID-controller design for robot manipulators by using fuzzy tuning approach. In: 2008 27th Chinese Control Conference, pp. 170–174. IEEE (2008)
Moin, N., Zinober, A., Harley, P.: Sliding mode control design using genetic algorithms. In: First International Conference on Genetic Algorithms in Engineering Systems: Innovations and Applications, pp. 238–244. IET (1995)
Pai, N.S., Chang, S.C., Huang, C.T.: Tuning PI/PID controllers for integrating processes with deadtime and inverse response by simple calculations. J. Process Control 20(6), 726–733 (2010)
Piltan, F., Boroomand, B., Jahed, A., Rezaie, H.: Methodology of mathematical error-based tuning sliding mode controller. Int. J. Eng. 6(2), 96–117 (2012)
Proaño, P., Capito, L., Rosales, A., Camacho, O.: A dynamical sliding mode control approach for long deadtime systems. In: 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT), pp. 0108–0113. IEEE (2017)
Rajabioun, R.: Cuckoo optimization algorithm. Appl. Soft Comput. 11(8), 5508–5518 (2011)
Rojas, R., Camacho, O., González, L.: A sliding mode control proposal for open-loop unstable processes. ISA Trans. 43(2), 243–255 (2004)
Sira-Ramírez, H.: Dynamical sliding mode control strategies in the regulation of nonlinear chemical processes. Int. J. Control 56(1), 1–21 (1992)
Sira-Ramirez, H., Llanes-Santiago, O.: Dynamical discontinuous feedback strategies in the regulation of nonlinear chemical processes. IEEE Trans. Control Syst. Technol. 2(1), 11–21 (1994)
Utkin, V.: Variable structure systems with sliding modes. IEEE Trans. Autom. Control 22(2), 212–222 (1977). https://doi.org/10.1109/TAC.1977.1101446
Utkin, V., Lee, H.: Chattering problem in sliding mode control systems. In: 2006 International Workshop on Variable Structure Systems, VSS 2006, pp. 346–350. IEEE (2006). https://doi.org/10.1109/VSS.2006.1644542
Utkin, Vadim, Poznyak, Alex, Orlov, Yury V.., Polyakov, Andrey: Road Map for Sliding Mode Control Design. SpringerBriefs in Mathematics, Springer, Cham (2020). https://doi.org/10.1007/978-3-030-41709-3
Young, K., Utkin, V., Ozguner, U.: A control engineer’s guide to sliding mode control. IEEE Trans. Control Syst. Technol. 7(3), 328–342 (1999). https://doi.org/10.1109/87.761053, http://ieeexplore.ieee.org/document/761053/
Yuan, Z., Montes de Oca, M., Birattari, M., Stützle, T.: Continuous optimization algorithms for tuning real and integer parameters of swarm intelligence algorithms. Swarm Intell. 6, 49–75 (2012). https://doi.org/10.1007/s11721-011-0065-9
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J. Espin and S. Estrada thank the Advanced Control Systems Research Group at USFQ for the research internship.
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Espin, J., Estrada, S., Benítez, D.S., Camacho, O. (2023). Artificial Bee Colony-Based Dynamic Sliding Mode Controller for Integrating Processes with Inverse Response and Deadtime. In: Orjuela-Cañón, A.D., Lopez, J., Arias-Londoño, J.D., Figueroa-García, J.C. (eds) Applications of Computational Intelligence. ColCACI 2022. Communications in Computer and Information Science, vol 1746. Springer, Cham. https://doi.org/10.1007/978-3-031-29783-0_4
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